10100131322133 has 32 divisors (see below), whose sum is σ = 13642273843200. Its totient is φ = 6645980880000.

The previous prime is 10100131322131. The next prime is 10100131322137. The reversal of 10100131322133 is 33122313100101.

It is a happy number.

It is not a de Polignac number, because 10100131322133 - 2¹ = 10100131322131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100131322131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517123578 + ... + 517143108.

It is an arithmetic number, because the mean of its divisors is an integer number (426321057600).

Almost surely, 2^{10100131322133} is an apocalyptic number.

It is an amenable number.

10100131322133 is a deficient number, since it is larger than the sum of its proper divisors (3542142521067).

10100131322133 is a wasteful number, since it uses less digits than its factorization.

10100131322133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22953.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10100131322133 its reverse (33122313100101), we get a palindrome (43222444422234).

The spelling of 10100131322133 in words is "ten trillion, one hundred billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred thirty-three".